It is permitted to drive on Sukkot?
It is not permitted to drive on Yom Tov, including of course Sukkos.
The reason for this is that driving involves combustion, and combustion is forbidden on Yom Tov, on which it is only permitted to transfer one flame to for another.
However, it appears that unlike Shabbos, driving on Yom Tov will involve a rabbinic prohibition alone, and not a Torah prohibition, because based on a number of Rishonim it emerges that the prohibition of kindling a fire on Yom Tov is rabbinic (see Rambam, Yom Tov 4:1; Beis Yosef, Orach Chaim 502).
Likewise, there is no direct act of extinguishing a fire (which is a Torah prohibition even on Yom Tov), because the fires are extinguished after the ignition key is turned, which cuts off the electric circuit that combustion depends on. This is an indirect act of extinguishing, and because there is no direct act a Torah prohibition is not involved.
This distinction can have possible ramifications for asking a non-Jew to drive on Yom Tov.